4655edo
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Prime factorization
5 × 72 × 19
Step size
0.257787¢
Fifth
2723\4655 (701.955¢) (→389\665)
Semitones (A1:m2)
441:350 (113.7¢ : 90.23¢)
Consistency limit
5
Distinct consistency limit
5
| ← 4654edo | 4655edo | 4656edo → |
4655 equal divisions of the octave (abbreviated 4655edo or 4655ed2), also called 4655-tone equal temperament (4655tet) or 4655 equal temperament (4655et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 4655 equal parts of about 0.258 ¢ each. Each step represents a frequency ratio of 21/4655, or the 4655th root of 2.
Theory
Despite its size this EDO only has a consistency level of 5.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.000 | -0.000 | +0.109 | -0.061 | +0.089 | +0.117 | -0.036 | -0.026 | -0.047 | +0.025 | +0.056 |
| relative (%) | +0 | -0 | +42 | -24 | +35 | +45 | -14 | -10 | -18 | +10 | +22 | |
| Steps (reduced) |
4655 (0) |
7378 (2723) |
10809 (1499) |
13068 (3758) |
16104 (2139) |
17226 (3261) |
19027 (407) |
19774 (1154) |
21057 (2437) |
22614 (3994) |
23062 (4442) | |
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